Can you provide more details. Is this certificate database a custom built thing or part of specific application or operating system?

Unfortunately, these terms sound a bit strange to me and do not line up with the X.509 Public Key Infrastructure standard. However, in that standard, Certificate Authorities issue certificates. The end certificate is only valid as long as the certificate authority that issued it is valid. Do your "Personal Certificates" have a field that indicates who issued it, or "signed" it? If so, that might tell you which "Signer Certificates" are being used.

That looks like a Trust Store, which is part of a Root Program in X.509, and it looks like it's out of date. I'd contact the vendor and ask for an update. Some vendors use the system Root Program, so it might all be that your operating system is out of date. I cannot recommend altering a trust store unless you really know what you are doing and understand the consequences.

Note, removing expired certs is not very important. However, getting the new and renewed certs from the vendor is.

As for the "Personal Certificates", does that tab present a similar screen that shows you the issuer?